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Finding the Fourth Proportional to 9,404.62, 12,977.66 and 5,155

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Solution

The fourth proportional to 9,404.62, 12,977.66 and 5,155 is: 7,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.62 : 12,977.66 = 5,155 : x
  2. Step 2: Convert to fraction form
    9,404.62/12,977.66 = 5,155/x
  3. Step 3: Cross multiply
    9,404.62x = 12,977.66 × 5,155
  4. Step 4: Simplify right side
    9,404.62x = 66,899,837.30
  5. Step 5: Solve for x
    x = 66,899,837.30/9,404.62
  6. Step 6: Final answer
    x = 7,113.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.